TSTP Solution File: SEU253+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:05:13 EDT 2023
% Result : Theorem 29.25s 4.73s
% Output : CNFRefutation 29.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 88 ( 11 unt; 0 def)
% Number of atoms : 329 ( 34 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 413 ( 172 ~; 174 |; 51 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 145 ( 3 sgn; 93 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f15,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_wellord1) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f36,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f37,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f40,conjecture,
! [X0,X1] :
( relation(X1)
=> ( connected(X1)
=> connected(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_wellord1) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( connected(X1)
=> connected(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f60,plain,
! [X0] :
( ( connected(X0)
<=> ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(flattening,[],[f62]) ).
fof(f65,plain,
? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f66,plain,
? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) ),
inference(flattening,[],[f65]) ).
fof(f74,plain,
! [X0] :
( ( ( connected(X0)
| ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) )
& ( ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) )
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f75,plain,
! [X0] :
( ( ( connected(X0)
| ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
=> ( ~ in(ordered_pair(sK2(X0),sK1(X0)),X0)
& ~ in(ordered_pair(sK1(X0),sK2(X0)),X0)
& sK1(X0) != sK2(X0)
& in(sK2(X0),relation_field(X0))
& in(sK1(X0),relation_field(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ( ( connected(X0)
| ( ~ in(ordered_pair(sK2(X0),sK1(X0)),X0)
& ~ in(ordered_pair(sK1(X0),sK2(X0)),X0)
& sK1(X0) != sK2(X0)
& in(sK2(X0),relation_field(X0))
& in(sK1(X0),relation_field(X0)) ) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f75,f76]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2) )
& ( ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f61]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2) )
& ( ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
( ? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) )
=> ( ~ connected(relation_restriction(sK9,sK8))
& connected(sK9)
& relation(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ~ connected(relation_restriction(sK9,sK8))
& connected(sK9)
& relation(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f66,f92]) ).
fof(f101,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f104,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f112,plain,
! [X3,X0,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f113,plain,
! [X0] :
( connected(X0)
| in(sK1(X0),relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f114,plain,
! [X0] :
( connected(X0)
| in(sK2(X0),relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f115,plain,
! [X0] :
( connected(X0)
| sK1(X0) != sK2(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f116,plain,
! [X0] :
( connected(X0)
| ~ in(ordered_pair(sK1(X0),sK2(X0)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f117,plain,
! [X0] :
( connected(X0)
| ~ in(ordered_pair(sK2(X0),sK1(X0)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f132,plain,
! [X2,X0,X1] :
( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f133,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X2))
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f134,plain,
! [X2,X0,X1] :
( in(X0,X1)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f137,plain,
relation(sK9),
inference(cnf_transformation,[],[f93]) ).
fof(f138,plain,
connected(sK9),
inference(cnf_transformation,[],[f93]) ).
fof(f139,plain,
~ connected(relation_restriction(sK9,sK8)),
inference(cnf_transformation,[],[f93]) ).
fof(f146,plain,
! [X0] :
( connected(X0)
| ~ in(unordered_pair(unordered_pair(sK2(X0),sK1(X0)),singleton(sK2(X0))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f117,f101]) ).
fof(f147,plain,
! [X0] :
( connected(X0)
| ~ in(unordered_pair(unordered_pair(sK1(X0),sK2(X0)),singleton(sK1(X0))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f116,f101]) ).
fof(f148,plain,
! [X3,X0,X4] :
( in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f112,f101,f101]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(definition_unfolding,[],[f129,f101]) ).
cnf(c_56,plain,
( ~ relation(X0)
| relation(relation_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_64,plain,
( ~ in(unordered_pair(unordered_pair(sK2(X0),sK1(X0)),singleton(sK2(X0))),X0)
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_65,plain,
( ~ in(unordered_pair(unordered_pair(sK1(X0),sK2(X0)),singleton(sK1(X0))),X0)
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_66,plain,
( sK2(X0) != sK1(X0)
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_67,plain,
( ~ relation(X0)
| in(sK2(X0),relation_field(X0))
| connected(X0) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_68,plain,
( ~ relation(X0)
| in(sK1(X0),relation_field(X0))
| connected(X0) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_69,plain,
( ~ in(X0,relation_field(X1))
| ~ in(X2,relation_field(X1))
| ~ relation(X1)
| ~ connected(X1)
| X0 = X2
| in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),X1)
| in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),X1) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_79,plain,
( ~ in(X0,X1)
| ~ in(X2,X3)
| in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1)) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_82,plain,
( ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| ~ relation(X2)
| in(X0,relation_restriction(X2,X1)) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_85,plain,
( ~ in(X0,relation_field(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,X2) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_86,plain,
( ~ in(X0,relation_field(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,relation_field(X1)) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_89,negated_conjecture,
~ connected(relation_restriction(sK9,sK8)),
inference(cnf_transformation,[],[f139]) ).
cnf(c_90,negated_conjecture,
connected(sK9),
inference(cnf_transformation,[],[f138]) ).
cnf(c_91,negated_conjecture,
relation(sK9),
inference(cnf_transformation,[],[f137]) ).
cnf(c_309,plain,
X0 = X0,
theory(equality) ).
cnf(c_311,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_619,plain,
( ~ relation(sK9)
| relation(relation_restriction(sK9,X0)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_746,plain,
( ~ relation(relation_restriction(sK9,X0))
| in(sK1(relation_restriction(sK9,X0)),relation_field(relation_restriction(sK9,X0)))
| connected(relation_restriction(sK9,X0)) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_747,plain,
( ~ relation(relation_restriction(sK9,X0))
| in(sK2(relation_restriction(sK9,X0)),relation_field(relation_restriction(sK9,X0)))
| connected(relation_restriction(sK9,X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_895,plain,
( ~ relation(relation_restriction(sK9,sK8))
| in(sK1(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,sK8)))
| connected(relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_896,plain,
( ~ relation(relation_restriction(sK9,sK8))
| in(sK2(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,sK8)))
| connected(relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_1162,plain,
( ~ relation(sK9)
| relation(relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_619]) ).
cnf(c_1335,plain,
( sK2(X0) != X1
| sK1(X0) != X1
| sK2(X0) = sK1(X0) ),
inference(instantiation,[status(thm)],[c_311]) ).
cnf(c_1347,plain,
( ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1348,plain,
( ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_restriction(sK9,sK8)),sK8) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_1358,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1359,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK2(relation_restriction(sK9,sK8)),sK8) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_1485,plain,
( ~ in(sK1(relation_restriction(sK9,sK8)),sK8)
| ~ in(X0,X1)
| in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),X0),singleton(sK1(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,X1)) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_1494,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ in(X0,relation_field(sK9))
| ~ relation(sK9)
| ~ connected(sK9)
| X0 = sK2(relation_restriction(sK9,sK8))
| in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),X0),singleton(sK2(relation_restriction(sK9,sK8)))),sK9)
| in(unordered_pair(unordered_pair(X0,sK2(relation_restriction(sK9,sK8))),singleton(X0)),sK9) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1505,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),sK8)
| ~ in(X0,X1)
| in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),X0),singleton(sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,X1)) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_1610,plain,
sK2(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8)),
inference(instantiation,[status(thm)],[c_309]) ).
cnf(c_1754,plain,
( sK2(X0) != sK2(X0)
| sK1(X0) != sK2(X0)
| sK2(X0) = sK1(X0) ),
inference(instantiation,[status(thm)],[c_1335]) ).
cnf(c_1993,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ relation(sK9)
| ~ connected(sK9)
| sK1(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8))
| in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),sK9)
| in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),sK9) ),
inference(instantiation,[status(thm)],[c_1494]) ).
cnf(c_2027,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),sK8)
| ~ in(sK1(relation_restriction(sK9,sK8)),sK8)
| in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8)) ),
inference(instantiation,[status(thm)],[c_1485]) ).
cnf(c_2097,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),sK8)
| ~ in(sK1(relation_restriction(sK9,sK8)),sK8)
| in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8)) ),
inference(instantiation,[status(thm)],[c_1505]) ).
cnf(c_4964,plain,
( ~ in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),cartesian_product2(X0,X0))
| ~ in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),sK9)
| ~ relation(sK9)
| in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,X0)) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_6196,plain,
( ~ in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),cartesian_product2(X0,X0))
| ~ in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),sK9)
| ~ relation(sK9)
| in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),relation_restriction(sK9,X0)) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_7540,plain,
( sK2(relation_restriction(sK9,sK8)) != sK1(relation_restriction(sK9,sK8))
| ~ relation(relation_restriction(sK9,sK8))
| connected(relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_7571,plain,
( sK2(relation_restriction(sK9,sK8)) != sK2(relation_restriction(sK9,sK8))
| sK1(relation_restriction(sK9,sK8)) != sK2(relation_restriction(sK9,sK8))
| sK2(relation_restriction(sK9,sK8)) = sK1(relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_1754]) ).
cnf(c_8129,plain,
( ~ in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| ~ in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),sK9)
| ~ relation(sK9)
| in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_4964]) ).
cnf(c_9076,plain,
( ~ in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| ~ in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),sK9)
| ~ relation(sK9)
| in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_6196]) ).
cnf(c_9705,plain,
( ~ in(unordered_pair(unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),singleton(sK1(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8))
| ~ relation(relation_restriction(sK9,sK8))
| connected(relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_11232,plain,
( ~ in(unordered_pair(unordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),singleton(sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8))
| ~ relation(relation_restriction(sK9,sK8))
| connected(relation_restriction(sK9,sK8)) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_11233,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11232,c_9705,c_9076,c_8129,c_7571,c_7540,c_2097,c_2027,c_1993,c_1610,c_1358,c_1359,c_1347,c_1348,c_1162,c_896,c_895,c_89,c_90,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 19:28:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 29.25/4.73 % SZS status Started for theBenchmark.p
% 29.25/4.73 % SZS status Theorem for theBenchmark.p
% 29.25/4.73
% 29.25/4.73 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 29.25/4.73
% 29.25/4.73 ------ iProver source info
% 29.25/4.73
% 29.25/4.73 git: date: 2023-05-31 18:12:56 +0000
% 29.25/4.73 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 29.25/4.73 git: non_committed_changes: false
% 29.25/4.73 git: last_make_outside_of_git: false
% 29.25/4.73
% 29.25/4.73 ------ Parsing...
% 29.25/4.73 ------ Clausification by vclausify_rel & Parsing by iProver...
% 29.25/4.73
% 29.25/4.73 ------ Preprocessing...
% 29.25/4.73
% 29.25/4.73 ------ Preprocessing...
% 29.25/4.73
% 29.25/4.73 ------ Preprocessing...
% 29.25/4.73 ------ Proving...
% 29.25/4.73 ------ Problem Properties
% 29.25/4.73
% 29.25/4.73
% 29.25/4.73 clauses 48
% 29.25/4.73 conjectures 3
% 29.25/4.73 EPR 19
% 29.25/4.73 Horn 44
% 29.25/4.73 unary 22
% 29.25/4.73 binary 12
% 29.25/4.73 lits 93
% 29.25/4.73 lits eq 13
% 29.25/4.73 fd_pure 0
% 29.25/4.73 fd_pseudo 0
% 29.25/4.73 fd_cond 1
% 29.25/4.73 fd_pseudo_cond 2
% 29.25/4.73 AC symbols 0
% 29.25/4.73
% 29.25/4.73 ------ Input Options Time Limit: Unbounded
% 29.25/4.73
% 29.25/4.73
% 29.25/4.73 ------
% 29.25/4.73 Current options:
% 29.25/4.73 ------
% 29.25/4.73
% 29.25/4.73
% 29.25/4.73
% 29.25/4.73
% 29.25/4.73 ------ Proving...
% 29.25/4.73
% 29.25/4.73
% 29.25/4.73 % SZS status Theorem for theBenchmark.p
% 29.25/4.73
% 29.25/4.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.25/4.73
% 29.25/4.73
%------------------------------------------------------------------------------